Fixed point results for a generalized F-contractive mapping on closed ball with application

Orbital b-Metric Spaces and Related Fixed Point Results on Advanced Nashine-Wardowski-Feng-Liu Type Contractions with Applications

“…To highlight the originality of our findings, applications for a system of nonlinear integral equations and fractional differential equations are offered. In addition, we improve and generalize the findings of Nashine et al [21] and Rasham et al [27][28][29], as well as many others [1,2,3,6,7,8,17,22,24,35]. We can broaden our horizons to include, fuzzy mappings, L-fuzzy mappings, intuitionistic fuzzy mappings, and bipolar fuzzy mappings.…”

“…Padcharoen et al [26] presented periodic theorems for a novel generalized -type 𝐹 -contraction in modular-like-metric-spaces. Furthermore, Rasham et al [28] used the first of Wardowski's three 𝐹-contraction conditions to prove fixed point theorems in complete 𝑏 −like-metric-space using multivalued dominated 𝐹-contraction on the closed ball. Rasham et al [31] went on to analyze various linked fuzzy dominated generalized contractive maps in modular-like metric spaces, and they demonstrated applications to examine the unique solution of integral and fractional differential equations.…”

“…Definition 1.3 [28] Let Q be a non-empty subset of 𝑌 and 𝑔 ∈ 𝑌. Then, 𝑝 0 ∈ 𝑄 is said to be a best approximation in Q if 𝑑 𝑏 (𝑔, 𝑄) = 𝑑 𝑏 (𝑔, 𝑝 0 ), where 𝑑 𝑏 (𝑔, 𝑄) = inf 𝑝∈𝑄 𝑑 𝑏 (𝑔, 𝑝).…”

Multivalued nonlinear dominated mappings on a closed ball and associated numerical illustrations with applications to nonlinear integral and fractional operators

“…The idea of -metric-like space (bMLS) was introduced by Hussain et al [ 14 ] and they showed some results for weak contractive mappings. Lateral, Rasham et al [ 15 ] proved FP theorems in the complete bMLS . For more results on different new versions of bMS can be seen in ([ 16 , 17 , 18 , 8 ]) (see Table 1 , Fig.…”

Existence of Common Fixed Points of Generalized ∆-Implicit Locally Contractive Mappings on Closed Ball in Multiplicative G-metric Spaces with Applications

“…Rasham et al [37] recently presented fixed point results for a pair of dominated fuzzy maps in multiplicative metric space on a closed ball and discussed relevant applications to graph theory, integral equations, and functional equations. For additional information on closed ball (see [36,39,40]).…”