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Theory and Application of Fixed Point
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In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and FIE lead to a better understanding of several physical phenomena, which is why such differential equations have been highly appreciated and explored. We also note the importance of distinct abstract spaces, such as quasi-metric, b-metric, symmetric, partial metric, and dislocated metric. Sometimes, one of these spaces is more suitable for a particular application. Fixed point theory techniques in partial metric spaces have been used to solve classical problems of the semantic and domain theory of computer science. This book contains some very recent theoretical results related to some new types of contraction mappings defined in various types of spaces. There are also studies related to applications of the theoretical findings to mathematical models of specific problems, and their approximate computations. In this sense, this book will contribute to the area and provide directions for further developments in fixed point theory and its applications.
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Keywords
- almost ℛg-Geraghty type contraction
- b-metric space
- b-metric-like spaces
- b2-metric space
- binary relation
- binary relations
- bv(s)-metric space
- Cauchy sequence
- common coupled fixed point
- common fixed point
- common fixed points
- compatible maps
- convex metric spaces
- convex minimization problem
- coupled fixed points
- cyclic maps
- demicontractive mappings
- directed graph
- end-point
- equilibrium
- error estimate
- F-contraction
- fixed point
- fixed point problems
- fixed points
- fixed-point
- generalized mixed equilibrium problem
- geodesic space
- Hadamard spaces
- Hilbert space
- inverse strongly monotone mappings
- iterative scheme
- Mathematics & science
- metric space
- Metric spaces
- monotone mapping
- multivalued maps
- null point problem
- pre-metric space
- q-starshaped
- quasi-pseudometric
- Reference, information & interdisciplinary subjects
- regular spaces
- Research & information: general
- resolvent
- S-type tricyclic contraction
- split feasibility problem
- standard three-step iteration algorithm
- start-point
- strong convergence
- symmetric spaces
- T-contraction
- T-transitivity
- the condition (ℰμ)
- thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
- thema EDItEUR::P Mathematics and Science
- triangle inequality
- uniformly convex Banach space
- uniformly convex Busemann space
- variational inequalities
- weakly compatible mapping
- weakly contractive
- weakly uniformly strict contraction
Links
DOI: 10.3390/books978-3-0365-2072-8Editions