multivalued mappings
Common stationary points of multivalued mappings on bounded metric spaces
... Abstract. Necessary and sufficient conditions for the existence of common stationary points of two multivalued mappings and common stationary point theorems for multival- ued mappings on bounded metric ...
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FIXEDPOINT THEOREMS FOR MULTIVALUED MAPPINGS ON MENGER SPACES
... 2647 | P a g e Probabilistic 2-metric space is the probabilistic generalization of 2-metric space. Zeng [12] first introduced the concept of probabilistic 2-metric space and so it isof interestto develop the fixed point ...
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A new approach to (α,ψ) contractive nonself multivalued mappings
... In this paper, we introduce the notions of α -admissible and α - ψ -contractive type condition for nonself multivalued mappings. We establish fixed point theorems using these new notions along with a new ...
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A Classes of Variational Inequality Problems Involving Multivalued Mappings
... Definition (2-1): Let be a real Hilbert space and ‖. ‖ & 〈. , . 〉 denote norm and inner product on respectively. Given multivalued mappings 4, 5: → 2 6 is a power set of , a nonlinear mapping 7: → and a ...
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Fixed point theorems for multivalued mappings in symmetric spaces
... Department of Mathematics, University of Petroleum & Energy Studies, Dehradun-248007, INDIA Copyright © 2014 L. Joshi, M. Joshi and A. Kumar. This is an open access article distributed under the Creative Commons ...
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On best proximity points of upper semicontinuous multivalued mappings
... For multivalued mappings, the existence of best proximity points was established by many authors, ...semicontinuous multivalued mapping with nonempty, compact, and convex val- ues T : A → B which ...
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Fixed points of multivalued mappings in partial metric spaces
... We use the notion of Hausdorff metric on the family of closed bounded subsets of a partial metric space and establish a common fixed point theorem of a pair of multivalued mappings satisfying Mizoguchi and ...
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Remarks on monotone multivalued mappings on a metric space with a graph
... ued mappings, inspired by the definition of contraction multivalued mappings in [, ], is more appropriate. In the sequel, we assume that (X, d) is a metric space, and G is a di- rected graph ...
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Coupled fixed points for multivalued mappings in fuzzy metric spaces
... single-valued mappings to multivalued mappings and proved the existence of fixed points for contractive multivalued mappings in complete metric ...various multivalued contractive ...
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(α,ψ,ξ)-contractive multivalued mappings
... such mappings in complete met- ric ...-admissible mappings and proved some fixed-point ...-contractive mappings and obtained some fixed-point the- orems for multivalued ...such mappings ...
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Fixed Points for Multivalued Mappings and the Metric Completeness
... In 2008, Kikkawa and Suzuki 6 partially extended Theorem 1.2 to multivalued mappings. Theorem 1.3 see 6. Define a strictly decreasing function η from 0, 1 onto 1/2, 1 by ηr 1/1 r . Let X, d be a complete ...
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Strong and Convergence Theorems for Multivalued Mappings in Spaces
... Fixed point theory in a CAT0 space was first studied by Kirk see 13 and 14. He showed that every nonexpansive single-valued mapping defined on a bounded closed convex subset of a complete CAT0 space always has a fixed ...
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Diametrically Contractive Multivalued Mappings
... contractive mappings on a complete metric space are introduced by ...for multivalued mappings on hyperconvex spaces, thereby extending a Proinov’s ...
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Coincidence point theorems for multivalued mappings
... Some new coincidence point and fixed point theorems for multivalued mappings in complete metric space are proved.. KEY WORDS AND PHRASES: Multivalued mapping, coincidence point, and fixe[r] ...
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Note on essential fixed points of approximable multivalued mappings
... There are a lot of important applications of the essential fixed point theory like those in economy and the theory of games (see again the references in []). In [], we concentrated to essential multivalued ...
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Some remarks on lower hemicontinuity of convex multivalued mappings
... Last but not least we amend a theorem from [5] which asserts that every graph-convex map- ping from a locally compact set is lower hemicontinuous 2 and we give counterexamples in which mappings are not lower ...
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Demiclosedness principle and approximation theorems for certain classes of multivalued mappings in Hilbert spaces
... pseudocontractive-type mappings with the following two con- ditions: (i) given any pair x, y ∈ D(T ) and u ∈ Tx with x – u = d(x, Tx), there exists v ∈ Ty with y – v = d(y, Ty) satisfying the conditions of ...
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Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
... The purpose of this paper is to ensure the existence of fixed points for multivalued nonexpansive weakly inward nonself-mappings in uniformly convex metric spaces. This extends a result of Lim 1980 in ...
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Fixed points and continuity for multivalued mappings
... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ...
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Remarks on endpoints of multivalued mappings in geodesic spaces
... We discuss Panayanak’s results on the existence of an endpoint of a multivalued nonexpansive mapping. We show that all of his results can be extended and some can be established in a wider class of ...
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