in this paper we investigate common xed point theorems for contraction mapping in fuzzy metric space introduced by gregori and sapena [v. gregori, a. sapena, on xed-point the- orems in fuzzy metric spaces, fuzzy sets and systems, 125 (2002), 245-252].

in this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and  coincidence point  theorems on partially ordered fuzzy metric spaces are proved. also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.

The aim of this paper is to derive some common best proximity point results in partial metric spaces defining a new class symmetric mappings, which generalization cyclic ϕ-contraction mappings. With the help these characterization completeness given by Cobzas (2016) extended here for spaces. existence solution Fredholm integral equation also obtained via fixed-point formulation such

In this paper, we introduce the concept of contractive pair maps and give some necessary sufficient conditions for existence uniqueness best proximity points such pairs. our approach, have been weakened. An application has presented to demonstrate usability results. Also, cyclic ?-contraction asymptotic convergence theorems on point mappings. The results extend, generalize improve known from th...

In 2006, I. Beg and M. Abbas have studied the existence of coincidence and common fixed points for two mappings satisfying a weak contractive condition. Their results were extended in 2008 by A. Azam and M. Shakeel to the case of three mappings. Recently M. Abbas and D. Dorić employed the contractive conditions introduced in [Q. Zhang and Y. Song, Fixed point theory for generalized φ-weak contr...

In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric spaces. As consequences of these results, we deduce fixed point results in $G_{p}$-metric spa...

In present times, there has been a substantial endeavor to generalize the classical notion of iterated function system (IFS). We introduce new type non-linear contraction namely cyclic Meir-Keeler contraction, which is generalization famous Banach contraction. show existence and uniqueness fixed point for Using this result, we propose IFS in literature construction fractals. Furthermore, extend...

In this paper, we introduce some new classes of proximal contraction mappings and establish  best proximity point theorems for such kinds of mappings in a non-Archimedean fuzzy metric space. As consequences of these results, we deduce certain new best proximity and fixed point theorems in partially ordered non-Archimedean fuzzy metric spaces. Moreover, we present an example to illustrate the us...

In this paper, we introduce two new concepts of Feng-Liu type multivalued contraction mapping and cyclic mapping. Then, obtain some best proximity point results for such mappings on partial metric spaces by considering Feng-Liu's technique. Finally, provide examples to show the effectiveness our results.