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In this paper, we study the existence of fixed points for mappings defined on complete, (sequentially compact) cone metric spaces, satisfying a general contractive inequality depending of two additional mappings.

Functional Analysis · Mathematics 2015-02-17 José R. Morales , Edixon Rojas

In this note, we discuss common fixed point for a family of self mapping defined on a metric type space and satisfying a weakly contractive condition. In our development, we make use of the $\lambda$-sequence approach and also of a certain…

General Topology · Mathematics 2024-08-06 Collins Amburo Agyingi , Yaé Ulrich Gaba

The main aim of this paper is to find a unique common fixed point for six functions in a Menger probabilistic generalized metric space. For this purpose, we have defined the compatibility of three functions and established some required…

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

We consider a relatively new hybrid generalized F-contraction involving a pair of mappings and utilize the same to prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings satisfying…

Functional Analysis · Mathematics 2016-04-04 Hemant Kumar Nashine , Mohammad Imdad , MD Ahmadullah

In this paper, we study the weakest possible conditions for fixed point theorems involving two classes of mappings defined by Kannan and Chatterjea. Our approach relies on the so-called CJM condition, which was originally introduced by…

Functional Analysis · Mathematics 2026-03-10 Shunya Hashimoto , Misako Kikkawa , Shuji Machihara , Aqib Saghir

This paper is devoted to prove the S. L. Singh's common fixed point Theorem for commuting mappings in cone metric spaces. In this framework, we introduce the notions of Generalized Kannan Con- traction, Generalized Zamfirescu Contraction…

Functional Analysis · Mathematics 2013-07-17 José R. Morales , Edixon Rojas

We introduce and study a new type of mappings in metric spaces termed $n$-point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappings are discontinuous in the domain but necessarily…

General Topology · Mathematics 2025-04-22 Ravindra K. Bisht , Evgeniy Petrov

In this paper, we prove the following theorem: Let {T(t) : t >= 0} be a one-parameter continuous semigroup of mappings on a subset C of a Banach space E. The set of fixed points of T(t) is denoted by F(T(t)) for each t >= 0. Then cap_{t >=…

Functional Analysis · Mathematics 2007-05-23 Tomonari Suzuki

In this paper, we study a new iterative method for finding the fixed point of a weak Bregman relatively nonexpansive mapping and the set of solutions of generalized mixed equilibrium problems in Banach spaces.

Functional Analysis · Mathematics 2019-11-07 V. Darvish , K. Jantakarn , A. Kaewcharoen , N. Biranvand

Fixed point iterations are a fundamental tool in numerical analysis and scientific computing for the approximation of solutions to nonlinear problems. Their convergence is often established via the Banach fixed point theorem, provided that…

Numerical Analysis · Mathematics 2026-04-29 Thomas P. Wihler

In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for $(\delta, L)$-weak contraction according to a pseudo Hausdorff metric defined by…

General Topology · Mathematics 2015-08-24 Raúl Fierro

In this paper, we discuss characterizations of common fixed points of commutative semigroups of nonexpansive mappings. We next prove convergence theorems to a common fixed point. We finally discuss nonexpansive retractions onto the set of…

Functional Analysis · Mathematics 2007-05-23 T. Suzuki

In this paper, we introduce a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of generalized hybrid mappings in a Hilbert space. Our results…

Functional Analysis · Mathematics 2014-10-21 Sattar Alizadeh , Fridoun Moradlou

In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these…

Functional Analysis · Mathematics 2020-02-04 Nour el Houda Bouzara , Vatan Karakaya

In this paper we study the existence and uniqueness of fixed points of a class of mappings defined on complete, (sequentially compact) cone metric spaces, without continuity conditions and depending on another function.

Functional Analysis · Mathematics 2009-06-12 José R. Morales , Edixon Rojas

In this article, we present some fixed point theorems in partially ordered G-metric space using the concept of $(\psi,\phi)$- weak contraction which extend many existing fixed point theorems in such space. We also give some examples to show…

Functional Analysis · Mathematics 2014-03-11 Snehasish Bose , Sk Monowar Hossein

In this paper, we prove common fixed point results for a self-mappings satisfying an implicit function which is general enough to cover a multitude of known as well as unknown contractions. Our results modify, unify, extend and generalize…

Functional Analysis · Mathematics 2017-01-03 Mohammad Imdad , Rqeeb Gubran , Md Ahmadullah

In this paper, first some results of [5] are extended for subadditive separating maps between C(X;E) and C(Y;E), such that E is a unital Banach algebra. Then we give some conditions under which a strongly subadditive map has a unique fixed…

Functional Analysis · Mathematics 2015-06-02 Yousef Estaremi , Bahman Moeini

In this oaper, we prove some fixed point theorems in metric vector spaces, in which the continuity is not required for the considered mappings to satisfy. We provide some concrete examples to demonstrate these theorems. We also give some…

Functional Analysis · Mathematics 2022-11-08 Jinlu Li

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.

General Topology · Mathematics 2016-10-05 Hassen Aydi