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Meir-Keeler Type Contraction

A fixed point theorem for Meir-Keeler type contraction via Gupta-Saxena expression

A fixed point theorem for Meir-Keeler type contraction via Gupta-Saxena expression

... a Meir-Keeler type contraction via Gupta-Saxena rational expression which enables us to extend and generalize their main result (Gupta and Saxena in ...

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Explicit iterations for Lipschitzian semigroups with the Meir Keeler type contraction in Banach spaces

Explicit iterations for Lipschitzian semigroups with the Meir Keeler type contraction in Banach spaces

... Abstract In this paper, we introduce and prove strong convergence theorems for a new viscosity iteration scheme for approximating common fixed points of a Lipschitzian semigroup on a comp[r] ...

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Generalized Meir-Keeler type n-tupled fixed point theorems in ordered partial metric spaces

Generalized Meir-Keeler type n-tupled fixed point theorems in ordered partial metric spaces

... generalized Meir-Keeler fixed point theorems in various ways in various spaces which include complete metric space as well as ordered metric ...generalized Meir-Keeler type ...

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Meir-Keeler type contractions in partially ordered G-metric spaces

Meir-Keeler type contractions in partially ordered G-metric spaces

... of Meir-Keeler contractions in a complete metric space endowed with a partial ...generalized Meir-Keeler type contraction on G-metric spaces and extend the results of [, ] in ...

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Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications

Simultaneous generalizations of known fixed point theorems for a Meir-Keeler type condition with applications

... It is worth mentioning that the Banach contraction principle, Kannan’s fixed point theorem and Chatterjea’s fixed point theorem are different from each other in their mapping conditions. Very recently, Du studied ...

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Common Fixed Points of Generalized Meir Keeler Type Condition and Nonexpansive Mappings

Common Fixed Points of Generalized Meir Keeler Type Condition and Nonexpansive Mappings

... The aim of the present paper is to obtain common fixed point theorems by employing the recently introduced notion of weak reciprocal continuity. The new notion is a proper generalization of reciprocal continuity and is ...

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Fixed Point Theorems for a Weaker Meir-Keeler Type -Set Contraction in Metric Spaces

Fixed Point Theorems for a Weaker Meir-Keeler Type -Set Contraction in Metric Spaces

... weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir- Keeler type ψ -set contraction in metric ...

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Some Common Fixed Point Theorems Satisfying Meir Keeler Type Contractive Conditions

Some Common Fixed Point Theorems Satisfying Meir Keeler Type Contractive Conditions

... a contraction mapping theorem in a complete metric space, is a primary result of functional ...of contraction mapping theorem, various authors generalized the theorem and established a huge number of fixed ...

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Generalized Meir-Keeler Type ψ-Contractive Mappings and Applications to Common Solution of Integral Equations

Generalized Meir-Keeler Type ψ-Contractive Mappings and Applications to Common Solution of Integral Equations

... The Meir-Keeler contraction defined in 1969 by Meir and Keeler [13] is one of the most significant generalizations of Banach contraction principle ...of Meir and ...

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Meir-Keeler ɑ-contractive fixed and common fixed point theorems

Meir-Keeler ɑ-contractive fixed and common fixed point theorems

... Banach contraction principle, has attracted many researchers who tried to generalize it in different ...mentioning Meir-Keeler contractive type [–], some extended it to more gener- alized ...

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Common fixed points of generalized Meir-Keeler α-contractions

Common fixed points of generalized Meir-Keeler α-contractions

... This contraction has further been generalized and studied by various authors (see [– ...to Meir-Keeler versions for single and a pair of ...generalized Meir-Keeler ...

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Fixed points of generalized Meir-Keeler contraction mappings in b-metric-like spaces

Fixed points of generalized Meir-Keeler contraction mappings in b-metric-like spaces

... eralized Meir-Keeler contractions, which we will require in our subsequent ...generalized Meir-Keeler contraction of type (I) (respectively, type ...

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COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTION

COMON FIXED POINT THEOREMS FOR GENERALIZED WEAKLY CONTRACTIVE MAPPINGS UNDER THE WEAKER MEIR-KEELER TYPE FUNCTION

... [15] S. Moradi and E. Analoei, Common fixed point of generalized (ψ−ϕ)-weak contraction mappings, Int. J. Nonlinear Anal. Appl. 3 (2012) No.1, 24-30. [16] S. Moradi and E. A. Audegani, On the fixed point of ...

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Meir Keeler Contractions of Integral Type Are Still Meir Keeler Contractions

Meir Keeler Contractions of Integral Type Are Still Meir Keeler Contractions

... Banach contraction principle [1] is a very useful, simple, and classical tool in nonlinear ...example, Meir and Keeler [3] proved the following fixed point ...and Keeler [3]). Let (X,d) be a ...

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Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces

Fixed point theorems for cyclic Meir-Keeler type mappings in complete metric spaces

... Theorem 8 Let A and B be two nonempty closed subsets of a complete metric space (X, d), and let : ℝ + ® ℝ + be a -mapping in X. Suppose f : A ∪ B ® A ∪ B is a cyclic orbital weaker Meir-Keeler ...

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Fixed point theorems for Meir-Keeler type mappings in M-metric spaces with applications

Fixed point theorems for Meir-Keeler type mappings in M-metric spaces with applications

... Matthews in  [] introduced a partial metric space and proved the contraction prin- ciple of Banach in this new framework. Afterward, by several mathematicians many fixed point theorems were founded in partial ...

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Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions

Best Proximity Point Theorems for p-Cyclic Meir-Keeler Contractions

... extend the notion of the cyclic Meir-Keeler contraction to p sets, p ≥ 2, and we call this map a p-cyclic Meir-Keeler contraction. In this paper, we give sufficient conditions for ...

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A theorem of Meir Keeler type revisited

A theorem of Meir Keeler type revisited

... Abstract. In 1993, the authors presented a fixed point theorem of Meir-Keeler type. The proposed proof of a lemma—on which the said theorem depends on—is invalid. In this note, we alter the statement ...

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On α-ψ-Meir-Keeler contractive mappings

On α-ψ-Meir-Keeler contractive mappings

... In this paper, we introduce an α-ψ -Meir-Keeler contractive mapping in the setting of complete metric spaces via a triangular α-admissible mapping. We prove the existence and uniqueness of a fixed point of ...

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Fixed point results for generalized (α,ψ) Meir Keeler contractive mappings and applications

Fixed point results for generalized (α,ψ) Meir Keeler contractive mappings and applications

... new type of a generalized-( α , ψ )-Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via admissible ...

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