Abstract
In this manuscript, we introduce a new type of contraction, bilateral contraction which merges two significant approaches in the fixed point theory: Caristi type contractions and Jaggi type contractions. The principal aim of the main result is to enrich the literature by combining the techniques of the mentioned two celebrated results that belong to Jaggi and Caristi. We consider an example to indicate the validity and genuine nature of the main result.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference6 articles.
1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
2. Una teorema generale sull’esistenza di elementi uniti in una transformazione funzionale;Caccioppoli;Ren. Accad. Naz Lincei,1930
3. Fixed point theorems for mappings satisfying inwardness conditions
4. Some unique fixed point theorems;Jaggi;Indian J. Pure Appl. Math.,1977
5. An extension of Banach contraction principle through rational expression;Dass;Indian J. Pure Appl. Math.,1975
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献