What question did this study set out to answer?

The research aims to develop and apply new fixed point theorems in proximity spaces for solving fractional boundary value problems.

March 27, 2026Applicable Analysis and Discrete Mathematics0 citationsOpen Access

Application of new fixed point theorems on proximity spaces to fractional boundary value problem

MQMuhammad QasimUniversity of Technology Malaysia İAİshak AltunUniversity of Isfahan

Key Points

The research aims to develop and apply new fixed point theorems in proximity spaces for solving fractional boundary value problems.
Developed two fixed point theorems on proximity spaces using p-distance.
Compared new theorems with previous results.
Established the existence and uniqueness criteria for fractional boundary value problems.
Demonstrated existence and uniqueness of solutions for fractional boundary value problems.
Provided theoretical advancements on fixed point theorems in proximity spaces.

Abstract

We present two new fixed point theorems on proximity spaces using p-distance in this paper and compare them with the earlier results. Then, the existence and uniqueness of a fractional boundary value problem (FBVP) with Riemann-Liouville fractional derivatives have been established using one of these fixed point theorems.

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