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In this paper, we establish some common fixed point results for two pairs of weakly compatible mappings in the setting of $C$-complex valued metric space. Also, as application of the proved result, we obtain the existence and uniqueness of…

Functional Analysis · Mathematics 2017-09-12 Deepak Kumar , Sumit Chandok

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality of integral type depended on another function. This conditions is analogous of Banach…

Functional Analysis · Mathematics 2009-03-10 S. Moradi , A. Beiranvand

In this paper, we introduce and study a new extragradient iterative process for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality for an…

Functional Analysis · Mathematics 2014-05-22 Ibrahim Karahan , Murat Ozdemir

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

Classical Analysis and ODEs · Mathematics 2016-10-04 Sudip Kumar Pal , Manojit Maity

We study the fixed point problem for a system of multivariate operators that are coordinate-wise monotone (i.e., nondecreasing or nonincreasing in each of the variables, independently), in the setting of quasi-ordered sets. We show that…

General Topology · Mathematics 2012-09-03 Mircea-Dan Rus

Let $\Omega$ be a nonempty closed and convex subset of a uniformly smooth and uniformly convex real Banach space $\mathcal{X}$ with dual space $\mathcal{X}^*$. This article presents a hybrid algorithm for finding a common element of the set…

Functional Analysis · Mathematics 2025-09-30 Peter U. Nwokoro , Maria A. Onyido , Markjoe O. Uba , Cyril I. Udeani

Some results on fixed points related to the contractive compositions of bounded operators in complete metric spaces are discussed through the manuscript. The class of composite operators under study can include, in particular, sequences of…

Functional Analysis · Mathematics 2012-08-30 M. De la Sen

The concept of fixed point plays a crucial role in various fields of applied mathematics. The aim of this paper is to establish the existence of a unique fixed point of some type of functions which satisfy a new contraction principle,…

Functional Analysis · Mathematics 2025-05-27 Sanjay Roy , T. K. Samanta

In this paper, we introduce the notion of partially ordered {\epsilon}-chainable metric spaces and we derive new coupled fixed point theorems for uniformly locally contractive mappings on such spaces.

General Topology · Mathematics 2010-05-19 Bessem Samet , Habib Yazidi

In this paper we introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed…

General Topology · Mathematics 2016-10-04 Prajisha Eacha , Shaini Pulickakunnel

In this paper, we introduce a generalized notion of monotone property and prove some results regarding existence and uniqueness of multi-tupled fixed points for nonlinear contraction mappings satisfying monotone property in ordered complete…

Functional Analysis · Mathematics 2016-10-04 Aftab Alam , Mohammad Imdad , Stojan Radenovic

In this paper, we study a new iterative method for a common fixed point of a finite family of Bregman strongly nonexpansive mappings in the frame work of reflexive real Banach spaces. Moreover, we prove the strong convergence theorem for…

Functional Analysis · Mathematics 2015-12-02 Vahid Darvish

In this paper, we study some new common fixed point results of generalized contractive non-self multi-valued mappings on complete metric space.

Functional Analysis · Mathematics 2013-09-06 Farshid Khojasteh , Vladimir Rakočević

In this paper, we prove some common coupled fixed point theorems for mappings satisfying different contractive conditions in the context of complete $C^*$-algebra-valued metric spaces. Moreover, the paper provides an application to prove…

Operator Algebras · Mathematics 2020-10-06 Tianqing Cao , Qiaoling Xin

The main aim of this paper is to study of fixed point theory in partial cone metric spaces. Infact, some common fixed point theorems for two mappings in partial cone metric spaces are obtained.

Functional Analysis · Mathematics 2022-08-16 Tayebe Lal Shateri

The notion of a firmly nonexpansive mapping is central in fixed point theory because of attractive convergence properties for iterates and the correspondence with maximal monotone operators due to Minty. In this paper, we systematically…

Functional Analysis · Mathematics 2011-01-26 Heinz H. Bauschke , Sarah M. Moffat , Xianfu Wang

We establish three major fixed-point theorems for functions satisfying an odd power type contractive condition in G-metric spaces. We first consider the case of a single mapping, followed by that of a triplet of mappings and we conclude by…

General Topology · Mathematics 2017-09-25 Yaé Ulrich Gaba , Collins Amburo Agyingi

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

General Topology · Mathematics 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

In this paper, we discuss the existence of fixed points for integral type contractions in uniform spaces endowed with both a graph and an $E$-distance. We also give two sufficient conditions under which the fixed point is unique. Our main…

General Topology · Mathematics 2013-06-03 Aris Aghanians , Kourosh Nourouzi

We consider maps defined on the interior of a normal, closed cone in a real Banach space that are nonexpansive with respect to Thompson's metric. With mild compactness assumptions, we prove that the Krasnoselskii iterates of such maps…

Functional Analysis · Mathematics 2023-08-15 Brian Lins