A NEW APPROACH TO METRICAL FIXED POINT THEOREMS

R. P. Pant; Vladimir Rakočević; Dhananjay Gopal; Bharti Josh

doi:10.1515/ms-2025-0028

A NEW APPROACH TO METRICAL FIXED POINT THEOREMS

R. P. Pant, Vladimir Rakočević, Dhananjay Gopal, Bharti Josh

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we present new conditions yielding a unique fixed point for non expansive type mappings. We also obtain common fixed point theorems for mappings that not necessarily satisfy any known contractive type conditions. Since general methods for studying common fixed points of non-contractive mappings are not available, our present findings provides a new tools in this direction. Moreover, a common fixed point theorem is used to demonstrate in solving nonlinear integral equation problem.

Original language	English
Pages (from-to)	369-380
Number of pages	12
Journal	Mathematica Slovaca
Volume	75
Issue number	2
DOIs	https://doi.org/10.1515/ms-2025-0028
Publication status	Published - 1 Apr 2025
Externally published	Yes

Keywords

g-absorbing mapping
k-continuity
nonlinear integral equation
reciprocal continuity

ASJC Scopus subject areas

General Mathematics

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10.1515/ms-2025-0028

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KW - reciprocal continuity

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A NEW APPROACH TO METRICAL FIXED POINT THEOREMS

Abstract

Keywords

ASJC Scopus subject areas

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