[PDF] Top 20 New fixed point theorem under R-contractions
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New fixed point theorem under R-contractions
... Fixed point theory is a branch of nonlinear analysis that can be applied successfully to a wide range of contexts in social and natural ...celebrated theorem in order to guarantee that a nonlinear ... See full document
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New generalizations of Darbo’s fixed point theorem
... First of all, let us recall some basic concepts, notations and known results which will be used in the sequel. In this paper, we let E be a Banach space with the norm · and be the zero element in E. The closed ball ... See full document
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Relation-theoretic coincidence and common fixed point results under \((F,\mathcal{R})_{g}\)-contractions with an application
... The celebrated principle, namely Banach contraction principle, is one of the pivotal re- sults of nonlinear analysis. It establishes that, given a complete metric space (M, d) and a self-mapping T on M, if there exists h ... See full document
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Fixed point theorems for weak S-contractions in partially ordered 2-metric spaces
... unique fixed point, provided that the metric space (X , d) is ...[1, Theorem 3.5], Banach’s con- traction theorem has been generalized for two self-maps T : X → X and S : X → ...These ... See full document
14
A fixed point theorem for set-valued quasi-contractions in b-metric spaces
... Some problems, particularly the problem of the convergence of measurable functions with respect to a measure, lead to a generalization of notion of a metric. Using this idea, Czerwik [5] presented a generalization of the ... See full document
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A Suzuki-Type Common Fixed Point Theorem for generalized ( , φ )- weak contractions
... 19. S. L. Singh, S. N. Mishra, Renu Chugh and Raj Kamal, General common fixed point theorems and applications, J. Appl. Math.,Vol. 2012, Article ID 902312, 14 pages 20. S. L. Singh and S. N. Mishra, ... See full document
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Fixed Point Theorem Using Generalized Meir-Keeler Contractions on G-Metric Spaces
... common fixed point theorem of two set-valued mappings in a complete metric space: Let (𝑋, 𝑑) be a complete metric space, and let 𝑇, 𝑆: 𝑋 → 𝐵(𝑋) ...common fixed point 𝑎 ... See full document
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Common fixed points for two set-valued mappings on metric spaces
... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document
12
A fixed point result for a new class of set-valued contractions
... a fixed point theorem ([6], Theorem 4) for a class of set-valued mappings satisfy a contractive condition similar to ...(2.1) under some different ... See full document
7
Common fixed point theorem in intutionistic fuzzy metric space under strict contractive conditions
... Atanassov [3] introduced and studied the concept of Intuitionistic fuzzy sets as a noted generalization of fuzzy sets which has inspired intense research progress around this new notion of Intuitionistic fuzzy ... See full document
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Some new fixed point theorems for set-valued contractions in complete metric spaces
... The well-known Banach ’ s fixed point theorem asserts that if D = X, f is contractive and (X, d) is complete, then f has a unique fixed point in X. It is well known that the Banach ... See full document
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Coupled common fixed point results under new nonlinear contractions in ordered G-metric spaces
... The present paper deals with the establishment of some coupled common fixed point results for mixed monotone operators satisfying new nonlinear contractions in ordered G-metric spaces. The ... See full document
9
On new generalizations of Smarzewski’s fixed point theorem
... In , Browder [], Kirk [] and Göhde [] proved respectively that every nonex- pansive mapping T from a nonempty weakly compact convex subset K of a uniformly convex Banach space X into itself has a fixed ... See full document
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Common Fixed Point Theorem in Cone Metric Space for Rational Contractions
... Theorem 2.1. Let (X, d) be a complete cone metric space and P a normal cone with normal constant M . Let T : X → X be an almost Jaggi contraction, for all x, y ∈ X where L ≥ 0 and α, β ∈ [0, 1) with α + β < 1. ... See full document
7
Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces
... coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...coupled fixed point theorem for contractions ... See full document
14
Generalized Fixed Point Theorem for Quasi Contractions
... a fixed point theorem for generalized quasi-contractions of D*-metric spaces have been ...quasi- contractions on D*-metric spaces has been generalized by Brian Fisher ...Generally ... See full document
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Asymptotic fixed points for nonlinear contractions
... asymptotic fixed point theory, in which the existence of the fixed points is deduced from the assumption on the iterates of an operator ...totic fixed point theorem concerning ... See full document
5
A fixed point theorem for cyclic generalized contractions in metric spaces
... fixed point theo- rem for mappings satisfying cyclical contractive ...fixed point structures, are presented in ...fixed point theorem for cyclic ϕ- contractions and they further discussed ... See full document
7
Fixed point theorem for weakly Chatterjea-type cyclic contractions
... In this article, we introduce the notion of a Chatterjea-type cyclic weakly contraction and derive the existence of a fixed point for such mappings in the setup of complete metric spaces. Our result extends and ... See full document
9
1. Fixed point theorems for set-valued generalized asymptotic contractions
... this new class of maps, Briseid [5, 7] has observed that a continuous self-map of a compact metric space satisfying any one of the first 50 contractive conditions listed by Rhoades [17] is an asymptotic ... See full document
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