In this paper, we give a fixed point theorem and some results for mappings satisfying (E.A) −property in b−metric spaces.

In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our results extend/generalize many pre-existing results in literature.

Samet et al. [1] introduced the notions of α-admissible and α-ψ-contractive type mappings and proved fixed point theorems on complete metric space by using these notions. The results of Samet et al. [1] were generalized by many authors in different settings see for example [1–16]. Wardowski [17] introduced the notion of F -contraction which is a nice generalization of the classical contraction condition. He also proved a fixed point theorem for a mapping satisfying the F -contraction. This result has been extended in different ways as mentioned in [18–23]. Aamri and Moutawakil [26] introduced the notions of A-distance and E-distance on uniform spaces and proved some common fixed point theorems on uniform spaces. The purpose of this paper is to prove some fixed and common fixed point theorems on uniform spaces for mappings satisfying the contraction conditions obtained by refining the ideas of [1] and [17]. Now, we recollect some basic definitions, notions and results which we requir...

In this paper, we establish some generalizations of some com-mon fixed point theorems in uniform spaces for selfmappings by using the notions of A-distance and E-distance. A more general ϕ-contractive-type condition than those of Aamri and El Moutawakil [1] and Olatinwo [8] was employed to establish our results. These generalizations can be viewed as an improvement to some of the results of Aamri and El Moutawakil [1] and Olatinwo [8].

In the process of generalization of metric spaces to Topological spaces, a few aspects of metric spaces are lost. Therefore, the requirement of generalization of metric spaces leads to the theory of uniform spaces. Uniform spaces stand somewhere in between metric spaces and general topological spaces. Khan[6] extended fixed point theorems due to Hardy and Rogers[2], Jungck[4] and Acharya[1] in uniform space by obtaining some results on common fixed points for a pair of commuting mappings defined on a sequentially complete Hausdorff uniform space. Rhoades et. al.[7] generalized the result of Khan[6] by establishing a general fixed point theorem for four compatible maps in uniform space . In this paper, a common fixed point theorem in uniform spaces is proved which generalizes the result of Khan[6] and Rhoades et al.[7] by employing the less restrictive condition of weak compatibility for one pair and the condition of compatibility for second pair, the result is proved for six selfmappings.

Design, Manufacturing and Testing of cables

explicacion breve de intercambio de masa y energia