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A note on “Some results on multi-valued weakly Jungck mappings in b-metric space”

open access: yesOpen Mathematics, 2013
Bota Monica-Felicia, Karapınar Erdal
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An Implicit Function Implies Several Contraction Conditions

Sarajevo Journal of Mathematics
In this paper, we define a new implicit function which includes a majority of contractions of the existing literature of metric fixed point theory and then utilize the same to prove a general common fixed point theorem for two pairs of weakly compatible ...
J. Ali, M. Imdad
semanticscholar   +1 more source

Weakly Picard mappings: Retraction-displacement condition, quasicontraction notion and weakly Picard admissible perturbation

Studia Universitatis Babeş-Bolyai. Mathematica
Let (X, d) be a metric space, f : X → X be a mapping and G(·, f (·)) be an admissible perturbation of f. In this paper we study the following problems: In which conditions imposed on f and G we have the following: (DDE) data dependence estimate for the ...
I. Rus
semanticscholar   +1 more source

A Common Fixed Point Theorem for Weakly Compatible Mappings in Compact Metric Spaces Satisfying an Implicit Relation

Sarajevo Journal of Mathematics
We prove a common fixed point Theorem for four mappings in compact metric spaces satisfying an implicit relation using the concept of weak compatibility without decreasing assumption which generalizes Theorem 1 of V. Popa [9].
A. Aliouche
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General Common Fixed Point Theorems for Compatible Mappings of Type (C)

Sarajevo Journal of Mathematics
In this note, we prove a common fixed point theorem for four compatible mappings of type (C) satisfying an implicit relation. This theorem generalizes, improves and extends the result of Popa [6] and others.
H. Bouhadjera
semanticscholar   +1 more source

A Generalization of Meir-Keeler Type Common Fixed Point Theorem For Four Noncontinuous Mappings

Sarajevo Journal of Mathematics
In this paper, using a combination of methods used in [1], [20] and [22] the results from [3, Theorem 1], [14, Theorem 1] and [15, Theorem 1] are improved removing the assumption of continuity, relaxing compatibility to the weak compatibility property ...
V. Popa
semanticscholar   +1 more source

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