Fixed Point Results in W-Distance Spaces

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.