[PDF] Top 20 On some weak conditions of commutativity in common fixed point theorems

... Independently from the fixed point considerations until now established, we conclude this paper exhibiting some easy examples which show that the concepts of weak, quasi and slight commu[r] ... See full document

... improve commutativity conditions in common fixed point ...existence theorems on common fixed ...of common fixed points of noncompatible mappings is ... See full document

... Gregus fixed point ...replacing commutativity and nonexpansiveness assumptions with compatibility and continuity ...sufficient conditions for the existence of common fixed points ... See full document

... Definition 2.8. [3] Let f and g be self-maps on a set X . If w = f x = gx for some x in X , then x is called coincidence point of f and g, where w is called a point of coincidence of f and g. ... See full document

... Suppose ( , ) is a complete S-metric space and {f } is a sequence of self maps of X such that there is an ∈ A for which (2.18)’ S(f x, f x, f y) ≤ α(S(x, x, y), S(f x, f x, x), S f y, f y, y ) holds for all x, y ∈ X and ... See full document

... 1. Introduction. In 1976, Caristi [1] proved a fixed point theorem in a complete metric space which generalizes the Banach contraction principle. This theorem is very useful and has many applications. Later, Dien ... See full document

... In this paper we give some theorems on point of coincidence and common fixed point for two self mappings satisfying some general contractive conditions in generalized vector spaces.. Our[r] ... See full document

... a common fixed point theorem for weakly compatible mappings generalizing a result of Khan and Kubiaczyk ...prove common fixed point theorems for weakly compatible mappings ... See full document

... , Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed point theory ...Vetro, Common fixed points in cone metric spaces, Rend ... See full document

... established some fixed point theorems for contractive type mappings in a normal cone metric ...of fixed point theorems in such spaces is followed by some other ... See full document

... Corollary 2.4. Let A, S be a pair of self mappings of a fuzzy metric space X, M, ∗ such that A, S satisfies the property (E.A.), A is a fuzzy contraction with respect to S and SX is a closed subset of X. Then, the pair ... See full document

... where 0 < k < 1. The Banach Contraction Mapping Principle appeared in explicit form in Banach’s thesis in 1922 1. For its simplicity and usefulness, it has become a very popular tool in solving existence problems ... See full document

... three common fixed point theorems for weak contraction mappings of integral type in modular ...a common fixed point of ρ − compatible mappings satisfying a (ϕ − Ψ) ... See full document

... of fixed point theory, Lipschitz type mappings constitute a very important class of mappings and include contraction mappings, contractive mappings and, nonexpansive mappings as ...conditional ... See full document

... Theorem . [] Let (X, p, ) be a complete ordered partial metric space. Let f , g, T , S : X → X be mappings with fX ⊆ TX and gX ⊆ SX, and the dominating mappings f and g are weak annihilators of T and S, ... See full document

... unique fixed point in complete metric spaces Banach 2, Kannan 3 and every quasicontractive mapping has a unique fixed point in Banach spaces ´ Ciri´c 4, Rhoades ...unique fixed ... See full document

... interesting fixed point theorems for ψ - weak contraction in com- plete metric ...Banach’s fixed point theorem and to some other significant ...)- weak con- ... See full document

... This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals the ... See full document

... of common fixed points satisfying contractive type conditions has been a very active field of research ...general common fixed point theorems for four mappings, say A , B ... See full document

... “Common Fixed Point Theorems in Intuitionistic Fuzzy Metric Spaces Using Reneral Contractive Condition of Integral Type,” Interna- tional Journal of Contemporary Mathematical Sciences, ... See full document