Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

NONLINEAR VARIATIONAL INCLUSIONS INVOLVING (A, η) MONOTONE MAPPINGS IN HILBERT SPACES

T. Ram, M. Iqbal — Mon, 30 Jun 2025 00:00:00 +0700

In this work, we consider the nonlinear variational inclusion problem (NVIP) in real Hilbert spaces, which involves (A, η)-monotone mappings. We propose an iterative algorithm for finding the approximate solution to (NVIP) by using the resolvent operator technique, and we also explore the convergence criteria of the sequence generated by the resolvent iterative algorithm under some appropriate conditions.

ON COMMON FIXED POINT THEOREMS FOR UNIFORMLY ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

B. Nuntadilok, P. Kingkam — Mon, 30 Jun 2025 00:00:00 +0700

The aim of this manuscript is to establish a common fixed point theorem for two uniformly L-Lipschitzian and asymptotically quasi-nonexpansive non-self maps with respect to retraction P via implicit algorithm and to prove common fixed point results of two weakly inward and asymptotically quasi-nonexpansive mappings with respect to P satisfying condition (A) and condition (B), in a more general set up of hyperbolic space. Our results generalize, extend and improve some related results in the existing literature.

NEW ASPECT FOR FIXED POINT THOERY ON ULTRAMETRIC SPACE

Ö. Acar, T. Delen, A. S. Özkapu — Mon, 30 Jun 2025 00:00:00 +0700

In this paper, we prove some fixed point theorems using different types of contractions with special functions and also give an example to illustrate our results.

SCHAUDER BASIS AND SEQUENCER SPACES IN GENERAL TOPOLOGICAL VECTOR SPACES

C. G. Moorthy, I. R. Saminathan — Mon, 30 Jun 2025 00:00:00 +0700

Minkowski functionals of balanced neighbourhoods of zero are used to define sequence spaces in which sequences are sequences in general non locally convex topological vector spaces. The classical result “Every basis in a complete metrizable \linebreak topological vector space is a Schauder basis” is generalized for such sequence spaces.