[PDF] Top 20 Fixed points of multivalued mappings in modular function spaces with a graph

... to multivalued mappings by different authors; see ...fixed points for single-valued mappings in partially ordered metric spaces was initially considered by Ran and Reurings in [] who ... See full document

... to multivalued mappings. They introduced the notions of multivalued G-contractions and weak G-contractions for which they established fixed point ...single-valued mappings and studied the ... See full document

... fixed points of ρ-nonexpansive multivalued mappings in modular function spaces using a Mann iterative ...fixed points of ρ-nonexpansive multivalued mappings in ... See full document

... Banach spaces endowed with a ...to mappings on a metric space endowed with a ...G-nonexpansive mappings on ...expansive multivalued mappings defined on a metric space with a ...fixed ... See full document

... We use this representation to show how the Mann and Ishikawa type iterative methods can be used for the construction of common fixed points of continuous nonexpansive semigroups. The idea of using such processes in ... See full document

... Let X be a metric space. Recall that a mapping f : X → X is said to be quasi-nonexpansive if dfx, p ≤ dx, p for all x ∈ X and p ∈ Fixf . In this case, we will assume that Fixf / ∅. In 17, Chaoha and Phon-on showed that ... See full document

... results, modular-type conditions are much more natural as modular-type assump- tions can be more easily verified than their metric or norm ...in modular func- tion spaces after the first paper ... See full document

... in modular function spaces was initiated after the publication of the paper [] in ...in modular functions spaces [, ...of modular metric ...fixed points of ... See full document

... Fixed point theory for nonlinear mappings is an important subject of nonlinear functional analysis. One of the basic and the most widely applied fixed point theorem in all of analy- sis is the ‘Banach (or ... See full document

... of modular spaces was initiated by Nakano [] in connection with the theory of order spaces which was further generalized by Musielak and Orlicz ...fixed points of mappings on complete ... See full document

... for multivalued Lips- chitzian mappings defined on some subsets of modular metric ...spaces. Modular metric spaces were introduced in [, ...of modular metric spaces ... See full document

... of modular space was introduced by Nakano [20] and was intensively developed by Koshi, Shimogaki, Yamamuro (see [18, 21]) and ...in fixed point of modular ...of modular metric space generated ... See full document

... unique fixed point f ∈ C, and pf, f ...a fixed point f ∈ C, that is, T f f and pf, f ...only fixed point of T . Assume that h ∈ C is another fixed point of T ... See full document

... Then d is called a generalized metric and the pair (X, d) is called generalized metric space (or shortly GMS). Remark 1.2. Obviously, each metric space is a generalized metric space, but the converse is not true. ... See full document

... of multivalued functions has advanced in a variety of ...Banach-type fixed theorems of multivalued mappings started with the work of Nadler [1], who proved that a multivalued ... See full document

... The converse of Theorem 1.4 is also valid by following the same proof of Theorem 1.2. Assuming that X is not complete, we find a fixed point free mapping T satisfying the condition in Theorem 1.4. Following the ... See full document

... We would like to emphasize that all convergence theorems proved in this paper define constructive algorithms that can be actually implemented. When dealing with specific ap- plications of these theorems, one should take ... See full document

... of multivalued nonexpansive mappings is harder than the corresponding theory of single valued nonexpansive ...the fixed points of multivalued nonexpansive ... See full document

... Our results also generalize and extend some fixed point theorems in partially ordered complete metric spaces given in Harjani and Sadarangani [], Nicolae et al. [], Nieto and Rodríguez-López [] and [], Nieto et ... See full document

... a graph, called a G-contraction, and proved some fixed point results of the G-contraction in a com- plete metric space endowed with a graph and he showed that the results of many authors can be derived by ... See full document