n this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. our results extends chang-chen’s results  as well as ´ciri´c results. an example is given to support the usability of our results.

Abstraction mappings are one of the major tools used to construct correctness proofs for concurrent algorithms. Several examples are given of situations in which it is useful to allow the abstraction mappings to be muttivalued. The examples involve algorithm optimization, algorithm distribution, and proofs of time bounds.

In this paper, we introduce two iterative schemes by a modified Krasnoselskii-Mann algorithm for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of multivalued nonexpansive mappings in Hilbert space. We prove that the sequence generated by the proposed method converges strongly to a common element of the set of solutions of equilibruim proble...

Abstract We introduce a large class of contractive mappings, called Suzuki–Berinde type contraction. show that any contraction has fixed point and characterizes the completeness underlying normed space. A theorem for multivalued mappings is also obtained. These results unify, generalize complement various known comparable in literature.

OurmainpurposeofthispaperistointroducethemodifiedMannandIshikawaiteratesforfindingacommonattractivepoint of a finite family multivalued nonexpansive mappings in the setting uniformly convex Banach spaces. Weobtain necessary and sufficient conditions to guarantee strong convergence proposed algorithms withoutclosedness domain such mappings. Moreover, we derive some consequences from our main res...

Abstract This paper presents two fixed point results for both single valued and multivalued mappings on F -metric spaces, which is introduced by Jleli Samet [1]. First, we consider the concept of P -contraction mappings. Then using Feng-Liu’s technique, present a result -closed set spaces.

In this paper, we discuss the semantics of disjunctive programs and databases and show how multivalued mappings and their fixed points arise naturally within this context. A number of fixed-point theorems for multivalued mappings are considered, some of which are already known and some of which are new. The notion of a normal derivative of a disjunctive program is introduced. Normal derivatives...

In this work, we discuss the definition of the Reich contraction single or multivalued mappings defined in a modular metric space. In our investigation, we prove the existence of fixed point results for these mappings. c ©2016 All rights reserved.

We discuss the existence of fixed points of asymptotic pointwise mappings in metric spaces. This is the nonlinear version of some known results proved in Banach spaces. We also discuss the case of multivalued mappings. MSC: Primary 47H09; Secondary 47H10.

Abstract We establish a relationship between asymptotic regularity and common stationary points of multivalued mappings on metric space. As consequence our results, we obtain new fixed point result for two asymptotically regular single-valued mappings. Our work significantly improves complements comparable results in the literature.