[PDF] Top 20 On monotone contraction mappings in modular function spaces

... nonexpansive mappings defined on convex subsets of Banach spaces has been well developed since the s, see for example [–], and gener- alized to other metric spaces [–], and modular ... See full document

... Banach’s contraction principle for an integral type ...of contraction maps, called A-contractions, which is a proper generalization of Kannan’s mappings [], Bianchini’s mappings [], and ... See full document

... Motivated by the above results, we first present some best proximity point results for F ρ - proximal contractions in modular function spaces. Then we give some sufficient conditions guaranteeing the ... 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

... Banach contraction mapping is one of the pivotal results of ...Banach contraction principle in the ...Banach contraction principle in partially ordered sets with some applications to linear and ... See full document

... Pata contraction for mappings having the mixed monotone property in partially ordered complete metric spaces is ...our function converge to its coupled fixed ... See full document

... metric spaces has at- tracted considerable attention due to numerous applications in areas such as variational and linear inequalities, optimization, and approximation ...Banach contraction principle has ... See full document

... for every g ∈ E . We say that a property holds ρ-almost everywhere if the exceptional set is ρ-null. As usual we identify any pair of measurable sets whose symmetric difference is ρ-null as well as any pair of measurable ... See full document

... Using the above results, we are now ready to prove the main fixed point theorem for ρ-nonexpansive monotone multivalued mappings. This theorem may be seen as the monotone version of Theorem . of ... See full document

... Generalizing the partial order concept of the fixed point theorems by using graphs was first established by Jachymski and Lukawska [, ]. Their works generalized and sub- sumed the works of [, , , ] to ... See full document

... nonexpansive mappings in uniformly convex Banach spaces was proved by Lim ...nonexpansive mappings is harder than the corresponding theory of single-valued nonex- pansive ...nonexpansive ... See full document

... Here, in Sections 2 and 3 based on [12] and [13], some fixed point theorems for contraction and quasi contraction non-self mappings in mod- ular spaces are proved. Using the same argument as ... See full document

... In this paper, we introduce the concept of Knaster-Kuratowski-Mazurkiewicz map- pings (in short KKM-mappings) in modular function spaces. Then, we prove an analo- gue to Ky Fans fixed point ... See full document

... of modular space was introduced by Nakano [20] and was intensively developed by Koshi, Shimogaki, Yamamuro (see [18, 21]) and ...of modular space. In 2008, Chistyakov introduced the notion of modular ... See full document

... In this work, we investigate the fixed point theory of pointwise contraction mappings to the case of monotone mappings. In particular, we will extend the main result of [] to the case of ... See full document

... nonlinear contraction mappings in complete metric spaces without the mixed monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the ... See full document

... The original proof of the existence of a fixed point of asymptotically nonexpan- sive mappings was not constructive. It was Shu [16] who considered a modified Mann iteration to generate an approximate fixed point ... See full document

... ρ-nonexpansive mappings acting in modular function ...a modular sense) mappings acting in modular function spaces was first established by Kozlowski in [] and then ... See full document

... Banach Contraction Mapping Principle appeared in explicit form in Banach ’ s thesis in 1922 ...Banach contraction principle has been extended in many different directions, see ...of modular ... See full document

... multivalued contraction mappings was estab- lished by Nadler ...Banach contraction principle to mappings satisfying a less restrictive Lipschitz inequality such as local ...of mappings ... See full document