Abstract
The aim of the paper is to introduce the concept of new hybrid contractions that combine Jaggi hybrid type contractions and Suzuki type contractions with w -orbital admissible. We investigate the existence and uniqueness of such new hybrid contractions in theorems and results. Further, an illustrated example is given. With the results of this study, we generalize several well-known results in the recent fixed point literature.
Highlights
Introduction and PreliminariesIn the last three to four decades, metric fixed point theory was one of the crucial and useful topics of functional analysis
A wide variety of problems arising in different areas of pure and applied mathematics, such as differential equations, discrete and continuous dynamical systems, and nonlinear analysis, can be modeled as fixed point equations of the form u = Eu
The Banach contraction principle was extended by Caccioppoli [2] to the setting of a complete metric space, which states that, in a complete metric space ðX, dÞ, any Banach contraction E : X ⟶ X is a Picard operator; we refer to it as the “Banach-Caccioppoli theorem.”
Summary
Introduction and PreliminariesIn the last three to four decades, metric fixed point theory was one of the crucial and useful topics of functional analysis. Let E be a continuous self-map defined on complete metric space ðX, dÞ. Let E satisfy the following condition: dðEu, EzÞ
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