In this paper, we give (?,?)-weak Pata contractive mapping by using the simulation function and multivalued contractions establish some fixed point results for such contractions. Also, an example related to mappings via function. Our generalize Pata-type Banach Consequently, obtained encompass several in literature.

In this article, we study Feng-Liu [Fixed point theorems for multi-valued contractive mappings and Caristi type mappings, J. Math. Anal. Appl. 317 (2006), 103-112.] fixed present some new results in metric spaces using the concept of ?-distance. We also discuss, non-trivial examples to illustrate facts. Finally, applications our integral inclusions non-linear matrix equations. An example is giv...

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...

In this paper, we prove the ∆-convergence theorems of the cyclic algorithm and the new multi-step iteration for k-strictly pseudo-contractive mappings and give also the strong convergence theorem of the modified Halpern’s iteration for these mappings in a CAT (0) space. Our results extend and improve the corresponding recent results announced by many authors in the literature. Key–Words: CAT (0...

The aim of this paper is to present some coincidence and common fixed point results for generalized (ψ, φ)-contractive mappings using partially weakly G-α-admissibility in the setup of G-metric space. As an application of our results, periodic points of weakly contractive mappings are obtained. We also derive certain new coincidence point and common fixed point theorems in partially ordered G-m...

We establish a common fixed point theorem for two pairs of compatible mappings under a new contractive condition, which is independent of the known contractive definitions. This theorem improves various known results.

In this paper, we define the concept of almost generalized (S, T )− contractive condition, and prove some common fixed point results for four mappings satisfying almost generalized (S, T )− contractive condition in partially ordered fuzzy metric spaces.

In this note, we introduce some contractive conditions which complete the corresponding contractive conditions appeared in references [1]-[11]. By these conditions, we prove that twenty-two contractive conditions are equivalent. Then we use these conditions to get some common fixed point theorems for noncompatible maps and some weakly compatible mappings. There are a number of papers dealing wi...

In this paper, we introduce the notion of multivalued interpolative Kannan-type contractions. We also a more general version by relaxing degrees freedom powers arising in contractive condition. Gaba et al. (2021) recently pointed out significant error paper and Karapinar (2019), showing that particular type generalized contraction does not posses fixed point complete metric space. Thus, study m...