Nonlinear Analysis, ISSN 0362-546X, 2009, Volume 71, Issue 7, pp. 2734 - 2738

Altering distance functions in probabilistic fixed point theory have been recently considered by B.S. Choudhury and K. Das. In this paper we establish some...

Altering distance function | Menger probabilistic metric space | Fixed points | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | METRIC-SPACES | MAPPINGS

Altering distance function | Menger probabilistic metric space | Fixed points | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | METRIC-SPACES | MAPPINGS

Journal Article

Journal of Fixed Point Theory and Applications, ISSN 1661-7738, 3/2019, Volume 21, Issue 1, pp. 1 - 18

The purpose of this work is to establish new fixed point theorems for generalized contraction mappings with respect to w-distances in complete metric spaces by...

altering distance | weak altering distance | Mathematical Methods in Physics | nonlinear Fredholm integral equation | Analysis | Mathematics, general | w -Distance | Mathematics | Primary 47H10 | Secondary 54H25 | w-Distance | MATHEMATICS | MATHEMATICS, APPLIED | Nonlinear equations | Fixed points (mathematics) | Estimating techniques | Integral equations | Fredholm equations | Uniqueness

altering distance | weak altering distance | Mathematical Methods in Physics | nonlinear Fredholm integral equation | Analysis | Mathematics, general | w -Distance | Mathematics | Primary 47H10 | Secondary 54H25 | w-Distance | MATHEMATICS | MATHEMATICS, APPLIED | Nonlinear equations | Fixed points (mathematics) | Estimating techniques | Integral equations | Fredholm equations | Uniqueness

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 25

In this paper, we establish some fixed point theorems with T-contractions and w-distances in partially ordered metric spaces. The main tool used in our proof...

altering distance | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | T -contractions | multidimensional | partial order | w -distance | T-contractions | w-distance | MATHEMATICS | EQUIVALENT CONDITIONS | CONTRACTIVE MAPPINGS | MONOTONE MAPPINGS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point theory | Usage | Metric spaces | Differential equations | Theorems | Fixed points (mathematics) | Metric space | Partial differential equations | Theorem proving | Integral equations | Joining

altering distance | Mathematical and Computational Biology | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Topology | Differential Geometry | T -contractions | multidimensional | partial order | w -distance | T-contractions | w-distance | MATHEMATICS | EQUIVALENT CONDITIONS | CONTRACTIVE MAPPINGS | MONOTONE MAPPINGS | ORDINARY DIFFERENTIAL-EQUATIONS | Fixed point theory | Usage | Metric spaces | Differential equations | Theorems | Fixed points (mathematics) | Metric space | Partial differential equations | Theorem proving | Integral equations | Joining

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2015, Volume 2015, Issue 1, pp. 1 - 19

The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić in Chaos...

Mathematical and Computational Biology | t -norm | Mathematics | Topology | Cauchy sequence | 54H25 | altering distance | 47H10 | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | fuzzy metric space | t-norm | MATHEMATICS | MATHEMATICS, APPLIED | MENGER SPACES | SETS | MAPPINGS | Fuzzy logic | Sequences (Mathematics) | Usage | Fixed point theory | Fuzzy algorithms | Fuzzy systems | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Metric space | Chaos theory | Mathematical analysis | Fractal analysis | Solitons | Fractals | Fuzzy

Mathematical and Computational Biology | t -norm | Mathematics | Topology | Cauchy sequence | 54H25 | altering distance | 47H10 | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | fuzzy metric space | t-norm | MATHEMATICS | MATHEMATICS, APPLIED | MENGER SPACES | SETS | MAPPINGS | Fuzzy logic | Sequences (Mathematics) | Usage | Fixed point theory | Fuzzy algorithms | Fuzzy systems | Tests, problems and exercises | Theorems | Fixed points (mathematics) | Metric space | Chaos theory | Mathematical analysis | Fractal analysis | Solitons | Fractals | Fuzzy

Journal Article

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, ISSN 1345-4773, 2017, Volume 18, Issue 8, pp. 1435 - 1457

In this paper, we introduce the notion of an almost phi(f)-contraction which involves generalized altering distance functions and then we prove the existence...

MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH OPERATOR PAIRS | strongly M-starshaped metric spaces | generalized altering distances | invariant approximation | GENERALIZED I-CONTRACTIONS | SUBWEAKLY COMMUTING MAPS | MATHEMATICS | INVARIANT APPROXIMATIONS | Common fixed point | THEOREMS | almost contraction | CIRIC-TYPE | SELFMAPS

MATHEMATICS, APPLIED | NONEXPANSIVE-MAPPINGS | BANACH OPERATOR PAIRS | strongly M-starshaped metric spaces | generalized altering distances | invariant approximation | GENERALIZED I-CONTRACTIONS | SUBWEAKLY COMMUTING MAPS | MATHEMATICS | INVARIANT APPROXIMATIONS | Common fixed point | THEOREMS | almost contraction | CIRIC-TYPE | SELFMAPS

Journal Article

Filomat, ISSN 0354-5180, 1/2017, Volume 31, Issue 11, pp. 3233 - 3248

The purpose of this paper is to prove some strict common fixed point theorems for weakly compatible hybrid pairs of nonlinear mappings defined on semi-metric...

Coincidence | Commuting | Implicit functions | Diagonal lemma | College mathematics | Topological spaces | Altering distances | Implicit relation | Occasionally weakly compatible mappings | Property (E.A) | Integral type contraction | MATHEMATICS, APPLIED | CONTRACTIVE CONDITION | WEAKLY COMPATIBLE MAPPINGS | PROPERTY | occasionally weakly compatible mappings | altering distances | integral type contraction | INTEGRAL TYPE | MATHEMATICS | SEMIMETRIC SPACES | MAPS | SYMMETRIC-SPACES | THEOREMS | property (E.A)

Coincidence | Commuting | Implicit functions | Diagonal lemma | College mathematics | Topological spaces | Altering distances | Implicit relation | Occasionally weakly compatible mappings | Property (E.A) | Integral type contraction | MATHEMATICS, APPLIED | CONTRACTIVE CONDITION | WEAKLY COMPATIBLE MAPPINGS | PROPERTY | occasionally weakly compatible mappings | altering distances | integral type contraction | INTEGRAL TYPE | MATHEMATICS | SEMIMETRIC SPACES | MAPS | SYMMETRIC-SPACES | THEOREMS | property (E.A)

Journal Article

International Journal of Recent Technology and Engineering, 03/2019, Volume 7, Issue 6, pp. 1804 - 1809

Journal Article

Georgian Mathematical Journal, ISSN 1072-947X, 12/2017, Volume 24, Issue 4, pp. 569 - 589

This paper is concerned with the existence of positive solutions of three classes of nonlinear fractional differential equations using fixed point results in...

fractional differential equation | altering distance function | 47H10 | Fixed point | 34A08 | b-metric-like space | weakly α-admissible map | MATHEMATICS | FIXED-POINT THEOREMS | METRIC-SPACES | MAPPINGS | weakly alpha-admissible map

fractional differential equation | altering distance function | 47H10 | Fixed point | 34A08 | b-metric-like space | weakly α-admissible map | MATHEMATICS | FIXED-POINT THEOREMS | METRIC-SPACES | MAPPINGS | weakly alpha-admissible map

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 2014, Volume 2014, Issue 1, pp. 1 - 15

The aim of this paper is to present the definition of a generalized altering distance function and to extend the results of Yan et al. (Fixed Point Theory...

ordinary differential equations | partially ordered metric spaces | contraction mapping principle | fixed point | generalized altering distance function | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | SETS | Analysis | Metric spaces

ordinary differential equations | partially ordered metric spaces | contraction mapping principle | fixed point | generalized altering distance function | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | SETS | Analysis | Metric spaces

Journal Article

Nonlinear Analysis, ISSN 0362-546X, 2010, Volume 72, Issue 3, pp. 1188 - 1197

The purpose of this paper is to present some fixed point theorems in a complete metric space endowed with a partial order by using altering distance functions....

Altering distance function | Partially ordered set | Fixed point | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | OPERATOR | MAPS | SETS | ALTERING DISTANCES

Altering distance function | Partially ordered set | Fixed point | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | OPERATOR | MAPS | SETS | ALTERING DISTANCES

Journal Article

Hacettepe Journal of Mathematics and Statistics, ISSN 1303-5010, 2009, Volume 38, Issue 3, pp. 329 - 337

We prove a common fixed point theorem for two pairs of occasionally weakly compatible mappings satisfying an implicit relation of a new type that involves an...

Common fixed point | Point of coincidence | Occasionally weakly compatible mappings | Altering distance | MATHEMATICS | THEOREMS | MAPPINGS | STATISTICS & PROBABILITY

Common fixed point | Point of coincidence | Occasionally weakly compatible mappings | Altering distance | MATHEMATICS | THEOREMS | MAPPINGS | STATISTICS & PROBABILITY

Journal Article

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, ISSN 2008-1898, 2017, Volume 10, Issue 4, pp. 1377 - 1398

In this paper, we introduce alpha-psi-phi-Jachymski contractive mappings with generalized altering distance functions in the setting of quasi-metric spaces....

altering distance | MATHEMATICS | THEOREMS | w-distance | Admissible mapping | multidimensional | partial order

altering distance | MATHEMATICS | THEOREMS | w-distance | Admissible mapping | multidimensional | partial order

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2012, Volume 2012, Issue 1, pp. 1 - 17

The purpose of this paper is to prove some fixed point theorems in a complete metric space equipped with a partial ordering employing generalized distances...

complete metric space | Mathematical and Computational Biology | altering functions | orbitally continuous | Mathematics | Topology | ordered set | w -distance | fixed point | nondecreasing map | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | orbitally -continuous | Complete metric space | Nondecreasing map | Altering functions | Orbitally continuous | Orbitally U-continuous | Ordered set | w-distance | Fixed point | MATHEMATICS, APPLIED | EQUATIONS | MATHEMATICS | WEAKLY CONTRACTIVE MAPS | SETS | orbitally U-continuous | ALTERING DISTANCES | Measurement | Usage | Fixed point theory | Metric spaces | Distances | Methods | Theorems | Fixed points (mathematics) | Metric space | Order disorder

complete metric space | Mathematical and Computational Biology | altering functions | orbitally continuous | Mathematics | Topology | ordered set | w -distance | fixed point | nondecreasing map | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | orbitally -continuous | Complete metric space | Nondecreasing map | Altering functions | Orbitally continuous | Orbitally U-continuous | Ordered set | w-distance | Fixed point | MATHEMATICS, APPLIED | EQUATIONS | MATHEMATICS | WEAKLY CONTRACTIVE MAPS | SETS | orbitally U-continuous | ALTERING DISTANCES | Measurement | Usage | Fixed point theory | Metric spaces | Distances | Methods | Theorems | Fixed points (mathematics) | Metric space | Order disorder

Journal Article

Procedia Computer Science, ISSN 1877-0509, 2016, Volume 79, pp. 112 - 117

Fixed point theory is very wide field, which have many applications in different areas. The concept of altering distance to find fixed point results have been...

metric space | Altering distance function | partially ordered metric space | fixed point

metric space | Altering distance function | partially ordered metric space | fixed point

Journal Article

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2011, Volume 2011, Issue 1, pp. 1 - 16

In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized...

Complete metric space | Weakly increasing | Mathematical and Computational Biology | Mathematics | Coincidence point | Topology | Generalized altering distance function | Weakly contractive condition | Partially ordered set | Common fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | MATHEMATICS, APPLIED | MATHEMATICS | THEOREMS | SETS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Usage | Fixed point theory | Metric spaces | Point mappings (Mathematics) | Methods | Contraction operators | Functions (mathematics) | Theorems | Fixed points (mathematics) | Metric space | Integral equations | Mathematical analysis | Classification | Inequalities | Mapping

Complete metric space | Weakly increasing | Mathematical and Computational Biology | Mathematics | Coincidence point | Topology | Generalized altering distance function | Weakly contractive condition | Partially ordered set | Common fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | MATHEMATICS, APPLIED | MATHEMATICS | THEOREMS | SETS | NONLINEAR CONTRACTIONS | ORDINARY DIFFERENTIAL-EQUATIONS | Usage | Fixed point theory | Metric spaces | Point mappings (Mathematics) | Methods | Contraction operators | Functions (mathematics) | Theorems | Fixed points (mathematics) | Metric space | Integral equations | Mathematical analysis | Classification | Inequalities | Mapping

Journal Article

Fasciculi Mathematici, ISSN 0044-4413, 06/2016, Volume 56, Issue 1, pp. 111 - 120

In this work we are interested in the generalization of the result which is in the article [20]. To realize this, we weaken the two conditions that are :...

altering distance | 47H10 | hybrid mappings | symmetric space | common fixed point | occasionally weakly compatible | 54H25

altering distance | 47H10 | hybrid mappings | symmetric space | common fixed point | occasionally weakly compatible | 54H25

Journal Article

Advances in Difference Equations, ISSN 1687-1839, 12/2017, Volume 2017, Issue 1, pp. 1 - 15

In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using...

nonlinear Volterra integral equation | Mathematics | w -distance | 54H25 | altering distance function | 47H10 | nonlinear Fredholm integral equation | Ordinary Differential Equations | Functional Analysis | nonlinear fractional differential equation | Analysis | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | w-distance | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | METRIC-SPACES | CONTRACTIVE MAPPINGS | Fixed point theory | Usage | Differential equations | Nonlinear equations | Mathematical analysis | Integral equations | Integrals | Uniqueness | Estimating techniques | Volterra integral equations

nonlinear Volterra integral equation | Mathematics | w -distance | 54H25 | altering distance function | 47H10 | nonlinear Fredholm integral equation | Ordinary Differential Equations | Functional Analysis | nonlinear fractional differential equation | Analysis | Difference and Functional Equations | Mathematics, general | Partial Differential Equations | w-distance | MATHEMATICS | MATHEMATICS, APPLIED | FIXED-POINT THEOREMS | METRIC-SPACES | CONTRACTIVE MAPPINGS | Fixed point theory | Usage | Differential equations | Nonlinear equations | Mathematical analysis | Integral equations | Integrals | Uniqueness | Estimating techniques | Volterra integral equations

Journal Article

18.
Full Text
Some existence and uniqueness theorems on ordered metric spaces via generalized distances

Fixed Point Theory and Applications, ISSN 1687-1820, 12/2013, Volume 2013, Issue 1, pp. 1 - 20

The purpose of this paper is to prove some fixed point theorems in a complete metric space equipped with a partial ordering using w-distances together with the...

complete metric space | nondecreasing | Mathematical and Computational Biology | altering functions | orbitally continuous | Mathematics | Topology | w -distance | partially ordered set | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | orbitally -continuous | Complete metric space | Nondecreasing | Altering functions | Orbitally continuous | Partially ordered set | w-distance | Orbitally u-continuous | Fixed point | MATHEMATICS, APPLIED | EQUATIONS | MATHEMATICS | FIXED-POINT THEOREMS | SETS | orbitally U-continuous | Fixed point theory | Usage | Metric spaces | Distributions, Theory of (Functional analysis) | Contraction operators

complete metric space | nondecreasing | Mathematical and Computational Biology | altering functions | orbitally continuous | Mathematics | Topology | w -distance | partially ordered set | fixed point | Analysis | Mathematics, general | Applications of Mathematics | Differential Geometry | orbitally -continuous | Complete metric space | Nondecreasing | Altering functions | Orbitally continuous | Partially ordered set | w-distance | Orbitally u-continuous | Fixed point | MATHEMATICS, APPLIED | EQUATIONS | MATHEMATICS | FIXED-POINT THEOREMS | SETS | orbitally U-continuous | Fixed point theory | Usage | Metric spaces | Distributions, Theory of (Functional analysis) | Contraction operators

Journal Article

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, ISSN 2008-1898, 2017, Volume 10, Issue 2, pp. 699 - 712

The fixed point theorems in various contraction mappings have been provided by many researchers. Some of them used certain functions in mapping to guarantee...

MATHEMATICS | common fixed point | a generalized altering distance function | FIXED-POINT THEOREMS | w-distance | Fixed point

MATHEMATICS | common fixed point | a generalized altering distance function | FIXED-POINT THEOREMS | w-distance | Fixed point

Journal Article

Advances in Intelligent Systems and Computing, ISSN 2194-5357, 2016, Volume 437, pp. 157 - 172

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