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Article
Mann-type extragradient algorithm for solving variational inequality and fixed point problems
This paper aims to propose a double inertial Mann-type extragradient algorithm using non-monotonic step size and establish a weak convergence result to find a common solution to the variational inequality prob...
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Article
Open AccessMultivalued weak cyclic δ-contraction map**s
In this paper, we propose some new type of weak cyclic multivalued contraction map**s by generalizing the cyclic contraction using the δ-distance function. Several novel fixed point results are deduced for such...
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Article
Open AccessSome fixed point results for non-decreasing and mixed monotone map**s with auxiliary functions
The purpose of this paper is to provide sufficient conditions for the existence and uniqueness of fixed points for non-decreasing and mixed monotone map**s with auxiliary functions in the framework of metric...
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Article
Open AccessSome fixed point theorems for (α, β)-admissible Geraghty type contractive map**s and related results
In this paper, we introduced the concept of (α, β)-admissible Geraghty type contractive map**s. Sufficient conditions for the existence of a fixed point for such class of generalized nonlinear contractive mappi...
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Article
Open AccessSome fixed point theorems for \((\alpha,\psi)\) -rational type contractive map**s
In this paper, we introduce the concept of ( α ...
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Article
Open AccessFixed point theorems on b-metric spaces for weak contractions with auxiliary functions
In this paper, we obtain some fixed point results for generalized weakly contractive map**s with some auxiliary functions in the framework of b-metric spaces. The proved results generalize and extend the corres...
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Article
Open AccessOptimal solutions for nonlinear proximal -contraction map** in metric space
The objective of this paper is to solve an optimal solutions for new nonlinear map** in the setting of metric spaces. Our results extend, generalize, and improve some known results from best proximity point ...
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Article
Open AccessAn original coupled coincidence point result for a pair of map**s without MMP
The purpose of this paper is to establish a coupled coincidence point theorem for a pair of map**s without MMP (mixed monotone property) in metric spaces endowed with partial order, which is not an immediate...
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Article
Open AccessCoupled common fixed point theorems for generalized nonlinear contraction map**s with the mixed monotone property in partially ordered metric spaces
The purpose of this paper is to establish some coupled coincidence point theorems for generalized nonlinear contraction map**s with the mixed g-monotone property in the framework of metric spaces endowed with p...
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Article
Open AccessSome coupled common fixed points for a pair of map**s in partially ordered G-metric spaces
The purpose of this paper is to establish some coupled coincidence point theorems for a pair of map**s having a mixed g-monotone property in partially ordered G-metric spaces. Also, we present a result on the e...
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Article
Open AccessFixed 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 map**s in the setup of complete metric spaces. Our result extends an...
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Article
Common fixed points and invariant approximation for Gregus type contraction map**s
Some new common fixed point theorems for Gregus type contraction map**s have been obtained in convex metric spaces. As applications, invariant approximation results for these types of map**s are obtained. ...