Fixed Point Results in W-Distance Spaces

Fixed Point Results in W-Distance Spaces

Rakocevic, Vladimir

Taylor & Francis Ltd

12/2021

177

Dura

Inglês

9781032081465

15 a 20 dias

412

Descrição não disponível.
1. Introduction. 1.1. Metric Spaces. 1.2. Banach Contraction Principle. 1.3. Kannan Contraction. 1.4. Cirics Quasi-Contraction. 2. Some Basic Properties of W-Distances. 2.1. Definition and Examples. 2.2. Basic Properties of W-Distances. 2.3. More Results on W-Distances. 3. Fixed Point Results in the Framework of W-Distances. 3.1. Basic Fixed Point Results. 3.2. Banach Contraction Principle. 3.3 Rakotch's Theorem. 3.4 Meir and Keeler's Theorem. 3.5. Kannan Mappings. 3.6. Cirics Quasi-Contraction. 3.7. Fisher Quasi-Contraction. 4. Some Common Fixed Point Results using W-Distances. 4.1. Some Results of Ume and Kim. 4.2. Das and Naik Contraction. 4.3. Common Coupled Fixed Point Results. 4.4. Some of Mohanta's Results. 4.5. Second Fisher theorem. 5. Best Proximity Points and Various (?, ?, p)-Contractive Mappings. 5.1 Best Proximity Points Involving Simulation Functions. 5.2. Best Proximity Points with R-Functions. 5.3. (?, ?, p)-Contractive Mappings. 5.4. (?, ?, p)-Weakly Contractive Mappings. 5.5. Generalized Weak Contraction Mappings. 5.6. W? ?-Kannan Contractions. 6. Miscellaneous Complements. 6.1. Multivalued Mappings. 6.2. Cirics Type Contractions at a Point. 6.3. Extension of a Result by Ri. 6.4. Weaker Meir-Keeler Function. 6.5. Contractive Mappings of Integral Type. 6.6 Ekeland's Variational Principle. 6.7 Some Generalizations and Comments. Bibliography. Index.
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Lower Semicontinuous;W-distance;Metric Space;Fixed-point theory;Cauchy Sequence;Functional analysis;Banach Fixed Point Theorem;Wasserstein;Fixed Point Property;Kantorovich-Rubinstein;Fixed Point Results;Probability;Complete Metric Space;Banach Contraction Principle;Fixed Point;Fixed Point Theorem;Fixed Point Theory;Banach Contraction;Lipschitz Continuous Map;Compact Topological Space;Nonlinear Functional Analysis;Fixed Point Iteration