fixed point theory and applications
Topological fixed point theory and applications to variational inequalities
... fixed point theorems for set-valued maps in the absence of ...fixed point theorem to upper semicontinuous compact approachable set-valued maps defined on a large class of non-convex spaces having non-trivial ...
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A unified theory of cone metric spaces and its applications to the fixed point theory
... its applications to the fixed point theory was also given by Gel’man [], Rus [, ], Kasahara [], Hicks and Rhoades [], Park [] and others (see also Proinov [] and [, Section ...
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Fixed Point Theory for Admissible Type Maps with Applications
... new fixed point theorems for Urysohn type maps between Fr´echet ...Lefschetz fixed point theory for admissible type ...on fixed point theory in Banach spaces and ...
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Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps
... Veeramani, “On existence of equilibrium pair for constrained generalized games,” Fixed Point Theory and Applications , vol.. Veeramani, “On best proximity pair theorems and fixed-point t[r] ...
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General Iterative Method for Convex Feasibility Problem via the Hierarchical Generalized Variational Inequality Problems
... [11] S. Wang, G. Marino and F. Wang, “Strong convergence theorems for a generalized equilibrium problem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a Hilbert space,” Fixed ...
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Modular Cone Metric Spaces
... Kumam, Fixed point theorems for contraction mapping in modular metric spaces, Fixed Point Theory and Applications, (2011)", the authors have studied and introduced some ...
6
Fixed point theory for nonlinear mappings in Banach spaces and applications
... fixed point theory, equilibrium problems, optimization problems and partial differential equations with ap- plications principally drawn from mechanics; see, ...
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Fixed Point Theorems in Complete G - Metric Spaces
... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ...
5
Fixed Point Theorems for Times Reasonable Expansive Mapping
... about fixed points of expansive mapping was initiated by Machuca see ...discussed fixed points for other forms of expansive mapping see ...about fixed point theory, Zhang see 4 ...
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Property in -Metric Spaces
... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation ...
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Applications of Fixed Point Theorems in the Theory of Generalized IFS
... For applications of IFSs in image processing theory, in the theory of stochastic growth models, and in the theory of random dynamical systems, one can consult ...
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Applications of fixed point theorems in the theory of invariant subspaces
... fixed point theorem for multivalued maps. The idea of using fixed point theorems for multivalued maps in the search for invariant subspaces was first introduced by Androulakis ...
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Vol 6, No 8 (2015)
... In 1989, Bakthtin [3] introduced the concept of b-metric space as a generalization of metric spaces. The concept of complex valued b-metric spaces was introduced in 2013 by Rao et al. [10], which was more general than ...
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A Fixed Point Approach to the Stability of the Functional Equation
... the fixed point method to prove the Hyers-Ulam-Rassias stability of the functional equation ...the fixed point method for studying the stability problems of ...the fixed point ...
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Some new fixed point theorems for set-valued contractions in complete metric spaces
... The well-known Banach ’ s fixed point theorem asserts that if D = X, f is contractive and (X, d) is complete, then f has a unique fixed point in X. It is well known that the Banach contraction ...
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Coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy metric space
... etc. Fixed point theorems, involving four self-maps, began with the assumption that they are ...coupled fixed point theorems for occasionally weakly compatible mappings in fuzzy metric ...
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Linking Contractive Self-Mappings and Cyclic Meir-Keeler Contractions with Kannan Self-Mappings
... no fixed point. In such a case, the usual role of fixed points is played by the best proximity points between adjacent subsets in the metric ...are fixed points if such subsets intersect while ...
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FIXED POINT RESULTS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITIONS BUILD ON COUPLED-$\alpha$-ADMISSIBILITY
... Abstract: We consider in this article the notions of coupled−α−contraction of types (I) and (II) for a mapping F defined on a set Ψ × Ψ. Many fixed point (FP) results in the domain of metric space are ...
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Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping
... Let E be a real Banach space, C a nonempty closed convex subset of E, and T : C ® C a mapping. Recall that T is nonexpansive if ∥Tx - Ty∥ ≤ ∥x - y∥ for all x, y Î C. A point x Î C is a fixed point of ...
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Fixed Point Results of Rational Type Contractions in b-Metric Spaces
... Abstract. The aim of this manuscript is to establish fixed point results satisfying contractive conditions of rational type in the setting of b-metric spaces. The results proved herein are the ...
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