We manifest some fixed point and common fixed point results for non-Newtonian expansive maps defined on non-Newtonian metric spaces. The results offered in this article comprise non-Newtonian metric generalizations of some fixed point results in the literature.
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Research Article10.9734/ARJOM/2019/46298
In this paper, we introduce the notion of Ab -metric space and to study its basic topological properties. We prove some fixed point theorems under different contraction and expansion type conditions in the setting of Ab -metric space and partially ordered Ab -metric space.Our res...
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Research Article10.9734/BJMCS/2016/29828
The goal of this study is to prove a fixed-point theorem for E-contraction in a completely controlled metric space. Many previous findings in the literature are extended/ generalized by our findings. We also present examples that demonstrate the utility of these findings.
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Research Article10.9734/jamcs/2023/v38i61772
The goal of this paper is to define rational contraction in the context of A-metric spaces and to develop various fixed-point theorems in order to elaborate, generalize, and synthesize several previously published results. Finally, to illustrate the new theorem, an example is giv...
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Research Article10.9734/ajpas/2021/v15i430381
Our aim of this paper is to prove a new general common fixed point theorem for two pair of mappings under a different set of conditions using the idea of weakly compatible mappings satisfying a general class of contractions defined by an implicit relation in the frame work of par...
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Research Article10.9734/jamcs/2020/v35i430273
In this paper, we prove some coincidence point and common fixed point results for various multiplicative expansive type mappings in the context of multiplicative metric spaces. We give some examples to demonstrate the validity of the results. Our results improve and supplement so...
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Research Article10.9734/BJMCS/2016/28927
The aim of this paper is to present some fixed point theorems for non-decreasing map involving rational expression in the framework of S-metric spaces endowed with a partial order using a class of pairs of functions satisfying certain assumptions. Our results generalize and exten...
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Research Article10.9734/ARJOM/2016/28959
The purpose of this paper is to present some coupled fixed point theorems in cone Gb -metric spaces without the assumption of normality. These results improve and generalize some important known results. Illustrative some examples to highlight the realized improvements is also fu...
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Research Article10.9734/ARJOM/2016/27896
Our goal in this paper is to prove some fixed point and common fixed theorems for contractive type maps in a CMS over Banach algebra, which unify, extend and generalize most of the existing relevant fixed point theorems from Shaoyuan Xu and Stojan Radenovic [1]. We provide illust...
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Research Article10.9734/jamcs/2019/v33i130166
The goal of this article is to consider an Ishikawa type iteration process with errors to approximate the fixed point of -asymptotically quasi non-expansive mapping in convex cone metric spaces. Our results extend and generalize many known results from complete generalized convex...
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Research Article10.9734/arjom/2019/v14i230121
The aim of this paper is to present some common fixed point theorems for g-monotone maps involving rational expression in the framework of S-metric spaces endowed with a partial order using a class of pairs of functions satisfying certain assumptions.
Open access
Research Article10.9734/ARJOM/2016/28960