Some common fixed point results satisfying a generalized weak contractive condition in the framework of convex metric spaces are derived. As applications, we also obtained some results on the set of best approximation for such class of mappings. The proved results generalize and extend various known results in the literature.

*Correspondence: [email protected] 1Department of Mathematics, Lahore University of Management Sciences, Lahore, 54792, Pakistan 2Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju, 660-701, Korea Abstract In this paper, using the setting of two ordered generalized metric spaces, a unique common fixed point of four mappings satisfying a generalized contracti...

We establish some common fixed point results for multivalued mappings satisfying generalized contractive conditions on a complete partial metric space. The presented theorems extend some known results to partial metric spaces. We motivate our results by some given examples and an application for finding the solution of a functional equation arising in dynamic programming. 2000 Mathematics Subje...

In this paper, we consider a new class of pairs of generalized contractive type mappings defined in ordered partial metric spaces. Some coincidence and common fixed point results for these mapping are presented. An example is given to illustrate our obtained results.

In this paper, by using the C-class functions and a new approach we present some coincidence point results for four mappings satisfying generalized [Formula: see text]-weakly contractive condition in the setting of ordered b-metric spaces. Also, an application and example are given to support our results.

Sufficient conditions for the existence of a common fixed point for uniformly Cq− commuting mappings satisfying a generalized contractive conditions in the framework of a convex metric space are obtained. As an application, related results on best approximation are derived. Our results generalize various known results in the literature.

We set up two new variants ofψ -contractive mappings designed for two and three maps in metric spaces and originate common fixed point theorems for T -strictly weakly isotone increasing mappings and relatively weakly increasing mappings in complete ordered metric spaces. To demonstrate our results, we give some examples throughout the paper. At the same time, as applications of the presented th...

In this paper, we introduce a generalized ?-implicit locally contractive condition and give some examples to support it show its significance in fixed point theory. We prove that the mappings satisfying admit common point, where ordered multiplicative GM-metric space is chosen as underlying space. The obtained theorems generalize many earlier on implicit mappings. addition, nontrivial interesti...

We consider the concept of fuzzy quasi-contractions initiated by '{C}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{H}$-contractive mappings on M-complete fuzzy metric spaces in the sense of George and Veeramani.The results are illustrated by a representative example.

The aim of this work is to introduce the new property which is so called “common limit in the range” for four self-mappings and give some examples of mappings which satisfy this property. Moreover, we establish some new existence of a common fixed point theorem for generalized contractive mappings in fuzzy metric spaces by using new property and give some examples. Our results do not require th...