Let E be a real reflexive Banach space which has uniformly Gâteaux differentiable norm. Let K be aclosed convex subset of E which is also a sunny nonexpansive retract of E, and T : K → E be nonexpansive mapping satisfying the weakly inward condition and F (T ) = {x ∈ K, Tx = x} 6= ∅, and f : K → K be a contractive mapping. Suppose that x0 ∈ K, {xn} is defined by { xn+1 = αnf(xn) + (1− αn)((1− δ...

‎in this paper we study the existence of fixed points for mappings defined on complete metric spaces‎, ‎satisfying a general contractive inequality depending on two additional mappings‎.

Certain generalized Banach's contraction mapping principles on metric spaces are unified and/or extended to Hausdorff uniform spaces. Also given are some relationships between the set of all cluster points of the Picard iterates and the set of all fixed points for the mapping. These are obtained by assuming that the latter set is nonempty and by considering certain "quasi"-contractive condition...

The aim of this paper is to prove a common fixed point theorem for variants of weak compatible maps in a complex valued metric space. As a consequence, we extend and generalize the theorem of Branciari [3] for 2812 a pair of weakly compatible mappings satisfying a general contractive condition of integral type in complex valued metric space. At last, we prove two results by using E.A. property ...

‎in this paper‎, ‎we introduce $alpha$-$psi$-contractive mapping in partially ordered sets and construct fixed point theorems to solve a first-order ordinary differential equation by existence of its lower solution.

and Applied Analysis 3 to a fixed point of the mapping T , which is also a solution of VI 1.5 defined on the set of fixed points of T . As direct consequences, we obtain the unique minimum-norm fixed point of T . Namely, we find the unique solution of the quadratic minimization problem: ‖x̃‖ min{‖x‖ : x ∈ Fix T }. 2. Preliminaries and Lemmas Throughout this paper, when {xn} is a sequence inH, xn...

The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.

The aim of the paper is to study some generalizations of weakly Kannan and weakly Chatterjea-type contractive mappings in the setting of partial metric spaces. Some important outcomes are stated and proved, extending classic fixed point and best proximity point theorems. Examples are given in order to emphasize the utility of the main results.

We prove a unique common fixed-point theorem for two pair of weakly compatible maps in a complete metric space, which generalizes the result of Brian Fisher by a weaker condition such as weakly compatibility instead of compatibility and contractive modulus instead of continuity of maps.

In this paper, we establish a coincidence and a common fixed point for a pair of weakly compatible mappings under (ψ, φ)weakly contractive condition in G-metric spaces. Our results improve and generalize the results of Khandaqji et al. [20]. We also provide an example to support our results. Moreover, we prove that these mappings satisfy Property Q.